SPARSE, THIN AND OTHER SUBSETS OF GROUPS

Author:

LUTSENKO Ie.1,PROTASOV I. V.1

Affiliation:

1. Department of Cybernetics, Kyiv University, Volodimirska 64, 01033 Kyiv, Ukraine

Abstract

We introduce some new types of "small" subsets of a group: sparse, k-sparse, thin, k-thin, almost thin subsets. We study the interrelations between these types and apply the obtained results to the Stone–Čech compactification βG of a discrete group G.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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